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On the range of n th order derivations acting on commutative Banach positive squares ℓ-algebras

On the range of n th order derivations acting on commutative Banach positive squares ℓ-algebras Abstract In this paper we prove that the image of a nth order derivation on real commutative Banach ℓ-algebras with positive squares is contained in the set of nilpotent elements. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Topological Algebra and its Applications de Gruyter

On the range of n th order derivations acting on commutative Banach positive squares ℓ-algebras

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Publisher
de Gruyter
Copyright
Copyright © 2015 by the
ISSN
2299-3231
eISSN
2299-3231
DOI
10.1515/taa-2015-0010
Publisher site
See Article on Publisher Site

Abstract

Abstract In this paper we prove that the image of a nth order derivation on real commutative Banach ℓ-algebras with positive squares is contained in the set of nilpotent elements.

Journal

Topological Algebra and its Applicationsde Gruyter

Published: Dec 31, 2015

References